Potential theory is the study of harmonic functions in the same way as function theory is the study of holomorphic functions. Remark II. 5: The set of harmonic functions H(Ω) on some open set Ω is a vector space but no algebra (with respect to the pointwise multiplication)..
What is potential theory used for?
… Newton was the development of potential theory, which provides the mathematical representation of gravitational fields. It allows practical as well as theoretical investigation of the gravitational variations in space and of the anomalies due to the irregularities and shape deformations of Earth..
Potential theory may be defined as the study of harmonic functions. The term “potential theory” arises from the fact that, in 19th century physics, the fundamental forces of nature were believed to be derived from potentials which satisfied Laplace's equation. Hence, potential theory was the study of functions.
The term "potential theory" was coined in 19th-century physics when it was realized that two fundamental forces of nature known at the time, namely gravity and the electrostatic force, could be modeled using functions called the gravitational potential and electrostatic potential, both of which satisfy Poisson's
… Newton was the development of potential theory, which provides the mathematical representation of gravitational fields. It allows practical as well as theoretical investigation of the gravitational variations in space and of the anomalies due to the irregularities and shape deformations of Earth.
$72.00Complex Analysis and Potential Theory This volume gathers the contributions from outstanding mathematicians, such as Samuel Krushkal, Reiner Kühnau, Chung
Branch of mathematics and mathematical physics
In mathematics and mathematical physics, potential theory is the study of harmonic functions.
Study of the analytic properties of scattering amplitudes
In quantum physics, Regge theory is the study of the analytic properties of scattering as a function of angular momentum, where the angular momentum is not restricted to be an integer multiple of ħ but is allowed to take any complex value. The nonrelativistic theory was developed by Tullio Regge in 1959.
Complex analysis and potential theory
Electrokinetic potential in colloidal dispersions
Zeta potential is the electrical potential at the slipping plane. This plane is the interface which separates mobile fluid from fluid that remains attached to the surface.
